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Finding the Fourth Proportional to 314,045.59, 470,693.22 and 114,131.92

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Solution

The fourth proportional to 314,045.59, 470,693.22 and 114,131.92 is: 171,061.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,045.59 : 470,693.22 = 114,131.92 : x
  2. Step 2: Convert to fraction form
    314,045.59/470,693.22 = 114,131.92/x
  3. Step 3: Cross multiply
    314,045.59x = 470,693.22 × 114,131.92
  4. Step 4: Simplify right side
    314,045.59x = 53,721,120,929.58
  5. Step 5: Solve for x
    x = 53,721,120,929.58/314,045.59
  6. Step 6: Final answer
    x = 171,061.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.